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# N_patches = 5
# origin = 0.4 0.6 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.36774053598978	-0.9670156358	-0.7670156358	1.367015636
-40	-45	2.35122087381568	-0.7997659523	-0.8298253839	1.429825384
-35	-45	2.33200297469580	-0.6347391178	-0.8777606085	1.477760609
-30	-45	2.31072882978876	-0.4733734044	-0.9127271104	1.512727110
-25	-45	2.28785384474025	-0.3164313947	-0.9363920840	1.536392084
-20	-45	2.26368579949801	-0.1642091286	-0.9501518406	1.550151841
-15	-45	2.23841735658443	-0.01669658508	-0.9551328268	1.555132827
-10	-45	2.21215091200107	0.1263037737	-0.9522084321	1.552208432
-5	-45	2.18491793368933	0.2650905261	-0.9420223427	1.542022343
0	-45	2.15669649417564	0.4000000000	-0.9250147160	1.525014716
5	-45	2.12742066469205	0.5313592599	-0.9014432106	1.501443211
10	-45	2.09698637225448	0.6594476053	-0.8714004869	1.471400487
15	-45	2.06526174582898	0.7844624928	-0.8348335566	1.434833557
20	-45	2.03208969107849	0.9064852879	-0.7915568917	1.391556892
25	-45	1.99729504939619	1.025444183	-0.7412693780	1.341269378
30	-45	1.96069254298067	1.141072124	-0.6835745704	1.283574570
35	-45	1.92209845977759	1.252859317	-0.6180093338	1.218009334
40	-45	1.88134396947486	1.360000170	-0.5440836518	1.144083652
45	-45	1.83830472360879	1.461345727	-0.4613457270	1.061345727

-45	-40	2.32681304637762	-1.014982486	-0.5873112822	1.414982486
-40	-40	2.30881508692193	-0.8484137274	-0.6484137274	1.487801545
-35	-40	2.28804061672008	-0.6815203944	-0.6960491204	1.544571195
-30	-40	2.26511495654892	-0.5161976540	-0.7315679486	1.586900886
-25	-40	2.24050506260204	-0.3536935128	-0.7562375345	1.616300954
-20	-40	2.21454490170041	-0.1947678704	-0.7711821839	1.634111294
-15	-40	2.18746069776519	-0.03983045378	-0.7773565362	1.641469600
-10	-40	2.15939208489336	0.1109465979	-0.7755387978	1.639303304
-5	-40	2.13040989354980	0.2575390811	-0.7663359303	1.628335754
0	-40	2.10053484593718	0.4000000000	-0.7501977727	1.609103046
5	-40	2.06974633878964	0.5384043353	-0.7274294294	1.581968791
10	-40	2.03799065475331	0.6728027653	-0.6982057473	1.547141363
15	-40	2.00519249552974	0.8031819754	-0.6625895372	1.504695617
20	-40	1.97126013164066	0.9294280507	-0.6205472873	1.454591615
25	-40	1.93609554067447	1.051291833	-0.5719703233	1.396699843
30	-40	1.89960227291468	1.168354445	-0.5166980706	1.330828937
35	-40	1.86169794841213	1.279994999	-0.4545494564	1.256763103
40	-40	1.82232977314013	1.385363236	-0.3853632357	1.174310176
45	-40	1.78149208809736	1.483361686	-0.3090483907	1.083361686

-45	-35	2.28515932585390	-1.048076384	-0.4139540002	1.448076384
-40	-35	2.26523610667442	-0.8831316202	-0.4707410653	1.529176718
-35	-35	2.24256784724616	-0.7157735132	-0.5157735132	1.593489719
-30	-35	2.21775989372435	-0.5481701018	-0.5499359889	1.642278790
-25	-35	2.19128430779571	-0.3819180466	-0.5741280695	1.676828662
-20	-35	2.16349597239135	-0.2181503974	-0.5892004545	1.698354259
-15	-35	2.13465110478996	-0.05764286415	-0.5959169587	1.707946421
-10	-35	2.10492470115087	0.09909027262	-0.5949348794	1.706543866
-5	-35	2.07442673300423	0.2517133791	-0.5867984447	1.694923833
0	-35	2.04322036035844	0.4000000000	-0.5719430530	1.673708135
5	-35	2.01132974215353	0.5437762473	-0.5507000810	1.643370027
10	-35	1.97874983725944	0.6828723867	-0.5233072598	1.604249024
15	-35	1.94545812301066	0.8170822227	-0.4899234804	1.556572046
20	-35	1.91142176374595	0.9461281823	-0.4506438002	1.500474849
25	-35	1.87660517526440	1.069630795	-0.4055175423	1.436027874
30	-35	1.84098215299650	1.187084409	-0.3545720611	1.363270186
35	-35	1.80454176577439	1.297836785	-0.2978367848	1.282243815
40	-35	1.76730555747890	1.401081360	-0.2353772173	1.193042308
45	-35	1.72933339735950	1.495856567	-0.1673270289	1.095856567

-45	-30	2.24330801468346	-1.068589826	-0.2478907316	1.468589826
-40	-30	2.22110219810123	-0.9056946575	-0.2983952966	1.556066299
-35	-30	2.19626740219231	-0.7387918657	-0.3389813082	1.626363333
-30	-30	2.16939209173755	-0.5701816374	-0.3701816374	1.680403889
-25	-30	2.14095257659212	-0.4016873608	-0.3925944931	1.719224093
-20	-30	2.11132342234803	-0.2347199365	-0.4068288330	1.743878693
-15	-30	2.08078959594223	-0.07035130263	-0.4134662050	1.755374959
-10	-30	2.04956000754158	0.09061115674	-0.4130368661	1.754631322
-5	-30	2.01778278576970	0.2475547791	-0.4060079305	1.742456848
0	-30	1.98556064870947	0.4000000000	-0.3927803244	1.719545963
5	-30	1.95295855621570	0.5475476948	-0.3736884512	1.686477868
10	-30	1.92001396299097	0.6898333773	-0.3490060895	1.643726764
15	-30	1.88674850372680	0.8264893568	-0.3189568468	1.591679949
20	-30	1.85317437170415	0.9571134707	-0.2837250467	1.530656681
25	-30	1.81930160994545	1.081244004	-0.2434697616	1.460932482
30	-30	1.78514910824751	1.198342951	-0.1983429512	1.382770553
35	-30	1.75074755937857	1.307784306	-0.1485059570	1.296450347
40	-30	1.71615464804938	1.408856755	-0.09415322957	1.202308662
45	-30	1.68145218775133	1.500768847	-0.03552919003	1.100768847

-45	-25	2.20157245313730	-1.078450425	-0.08941275543	1.478450425
-40	-25	2.17682629122044	-0.9176910740	-0.1322723263	1.570363071
-35	-25	2.14963407318379	-0.7518111528	-0.1670559541	1.644956802
-30	-25	2.12057283497370	-0.5831459796	-0.1940560936	1.702858788
-25	-25	2.09012525908650	-0.4136473482	-0.2136473482	1.744872369
-20	-25	2.05868587290249	-0.2449148733	-0.2262454343	1.771889052
-15	-25	2.02656683413624	-0.07824073451	-0.2322746373	1.784818719
-10	-25	1.99400894117168	0.08533699968	-0.2321458588	1.784542553
-5	-25	1.96119514020505	0.2449801419	-0.2262435852	1.771885086
0	-25	1.92826294503175	0.4000000000	-0.2149191340	1.747599723
5	-25	1.89531176231639	0.5498122010	-0.1984871844	1.712361293
10	-25	1.86241223513770	0.6938964864	-0.1772275223	1.666769800
15	-25	1.82961785711242	0.8317635980	-0.1513912262	1.611363685
20	-25	1.79697056078567	0.9629285442	-0.1212070287	1.546633464
25	-25	1.76450621236876	1.086889838	-0.08688983797	1.473040011
30	-25	1.73226509272302	1.203117645	-0.04865286862	1.391040566
35	-25	1.70029323768170	1.311046554	-0.006717239889	1.301109320
40	-25	1.66865390942687	1.410080763	0.03867405272	1.203767379
45	-25	1.63742289201364	1.499599773	0.08724820472	1.099599773

-45	-20	2.16011007608687	-1.079224109	0.06160645442	1.479224109
-40	-20	2.13266405567139	-0.9204839311	0.02722314741	1.573691469
-35	-20	2.10301019238487	-0.7559534700	-0.0008685029801	1.650872644
-30	-20	2.07172041937242	-0.5879433109	-0.02281422125	1.711168009
-25	-20	2.03928627445646	-0.4184594821	-0.03883765201	1.755192024
-20	-20	2.00612098541068	-0.2492120005	-0.04921200046	1.783695312
-15	-20	1.97256142725637	-0.08163812440	-0.05423575037	1.797497951
-10	-20	1.93887628803531	0.08306263285	-0.05421506855	1.797441128
-5	-20	1.90527753115467	0.2438891427	-0.04945220329	1.784355264
0	-20	1.87193029901303	0.4000000000	-0.04023786916	1.759039089
5	-20	1.83895939255499	0.5506770130	-0.02684633064	1.722246139
10	-20	1.80645785545186	0.6952916595	-0.009534479855	1.674682220
15	-20	1.77449769205771	0.8332771230	0.01145567735	1.617012237
20	-20	1.74313487167787	0.9641055975	0.03589440251	1.549867391
25	-20	1.71241403872035	1.087270603	0.06356008106	1.473856564
30	-20	1.68237742973447	1.202276945	0.09423262958	1.389584430
35	-20	1.65306515542150	1.308633924	0.1276890293	1.297663727
40	-20	1.62452742997423	1.405860422	0.1636951325	1.198737772
45	-20	1.59681553681558	1.493485034	0.2020039960	1.093485034

-45	-15	2.11897068500660	-1.072147659	0.2055392236	1.472147659
-40	-15	2.08875417946018	-0.9152049883	0.1800163635	1.567400270
-35	-15	2.05661884515893	-0.7522001647	0.1590862897	1.645512369
-30	-15	2.02313613566560	-0.5853855986	0.1426809521	1.706737922
-25	-15	1.98880625844382	-0.4167670464	0.1306702203	1.751562583
-20	-15	1.95405796259963	-0.2480987409	0.1228798459	1.780636656
-15	-15	1.91924758403345	-0.08089206215	0.1191079379	1.794713609
-10	-15	1.88466478661716	0.08356305232	0.1191375464	1.794603108
-5	-15	1.85054201751609	0.2441706500	0.1227456130	1.781137620
0	-15	1.81706263413810	0.4000000000	0.1297095841	1.755147726
5	-15	1.78436622714240	0.5502568581	0.1398123351	1.717443746
10	-15	1.75255650727177	0.6942558463	0.1528442892	1.668807831
15	-15	1.72171167403533	0.8313969100	0.1686030900	1.609995186
20	-15	1.69188808673656	0.9611453497	0.1868935722	1.541734177
25	-15	1.66312542093554	1.083015770	0.2075262313	1.464732045
30	-15	1.63545478010680	1.196562109	0.2303142385	1.379686045
35	-15	1.60889891578986	1.301369546	0.2550719196	1.287289121
40	-15	1.58348263547742	1.397055700	0.2816107888	1.188244713
45	-15	1.55922543004343	1.483266552	0.3097396023	1.083266552

-45	-10	2.07812773820723	-1.058167877	0.3428856609	1.458167877
-40	-10	2.04515007643123	-0.9027663189	0.3262388839	1.552576441
-35	-10	2.01059297575861	-0.7413841425	0.3125754741	1.630065488
-30	-10	1.97502870567306	-0.5761982489	0.3018619389	1.690824965
-25	-10	1.93896289386043	-0.4091738754	0.2940234975	1.735278976
-20	-10	1.90283306219203	-0.2420533739	0.2889544193	1.764027147
-15	-10	1.86700631682879	-0.07635698658	0.2865279256	1.777788476
-10	-10	1.83178313902848	0.08660412491	0.2866041249	1.777356329
-5	-10	1.79740524426130	0.2457080687	0.2890359356	1.763564845
0	-10	1.76406293250545	0.4000000000	0.2936736865	1.737262853
5	-10	1.73189923913464	0.5486687987	0.3003689467	1.699292145
10	-10	1.70101739691227	0.6910234428	0.3089765572	1.650475960
15	-10	1.67149135977089	0.8264723585	0.3193550664	1.591616510
20	-10	1.64336777685310	0.9545046734	0.3313677723	1.523489069
25	-10	1.61667284049358	1.074674813	0.3448822239	1.446844805
30	-10	1.59141917327649	1.186591408	0.3597692503	1.362416283
35	-10	1.56760692548138	1.289907459	0.3759025906	1.270919564
40	-10	1.54523170373324	1.384316917	0.3931573038	1.173063222
45	-10	1.52428314305857	1.469549611	0.4114095464	1.069549611

-45	-5	2.03750334768809	-1.037983385	0.4741927555	1.437983385
-40	-5	2.00184614137711	-0.8838817160	0.4661361639	1.530070648
-35	-5	1.96500100463059	-0.7241949880	0.4595354782	1.605516831
-30	-5	1.92753814661295	-0.5610145728	0.4543728390	1.664526067
-25	-5	1.88996189398499	-0.3962333065	0.4506106717	1.707527836
-20	-5	1.85270735104592	-0.2315325991	0.4481965340	1.735121556
-15	-5	1.81614007075027	-0.06838213232	0.4470675489	1.748025915
-10	-5	1.78055809849404	0.09195061326	0.4471542526	1.747034887
-5	-5	1.74619895778808	0.2483834923	0.4483834923	1.732984613
0	-5	1.71324738201501	0.4000000000	0.4506806519	1.706727958
5	-5	1.68183856266423	0.5460283138	0.4539716862	1.669111265
10	-5	1.65206658908514	0.6858194293	0.4581841543	1.620962533
15	-5	1.62399247727164	0.8188273094	0.4632478000	1.563084798
20	-5	1.59764718996971	0.9445902083	0.4690951484	1.496249300
25	-5	1.57304062661503	1.062715658	0.4756612589	1.421198314
30	-5	1.55016447149790	1.172867012	0.4828837440	1.338644932
35	-5	1.52899729913962	1.274753293	0.4907024098	1.249277172
40	-5	1.50950918563574	1.368121977	0.4990588308	1.153762844
45	-5	1.49166481662662	1.452753717	0.5078959843	1.052753717

-45	0	1.99698723092236	-1.012083213	0.6000000000	1.412083213
-40	0	1.95879883457746	-0.8590916207	0.6000000000	1.500526962
-35	0	1.91986865131023	-0.7011914193	0.6000000000	1.572664330
-30	0	1.88075687872847	-0.5403784394	0.6000000000	1.628783235
-25	0	1.84195465461209	-0.3784436743	0.6000000000	1.669377847
-20	0	1.80388129026632	-0.2169637374	0.6000000000	1.695093937
-15	0	1.76688470743452	-0.05730341278	0.6000000000	1.706679571
-10	0	1.73124482460442	0.09937249111	0.6000000000	1.704943326
-5	0	1.69718018390558	0.2520810005	0.6000000000	1.690721901
0	0	1.66485718742288	0.4000000000	0.6000000000	1.664857187
5	0	1.63439319706684	0.5424467530	0.6000000000	1.628173838
10	0	1.60586456688937	0.6788554556	0.6000000000	1.581467876
15	0	1.57931447626547	0.8087566647	0.6000000000	1.525500640
20	0	1.55475674434190	0.9317581245	0.6000000000	1.460993440
25	0	1.53218556851921	1.047529602	0.6000000000	1.388631712
30	0	1.51157494623813	1.155787473	0.6000000000	1.309062303
35	0	1.49288780070346	1.256285265	0.6000000000	1.222902094
40	0	1.47607627477117	1.348803540	0.6000000000	1.130740028
45	0	1.46108914751722	1.433146044	0.6000000000	1.033146044

-45	5	1.95644726604323	-0.9807774425	0.7208023731	1.380777443
-40	5	1.91593948997600	-0.8287855841	0.7281192418	1.464409634
-35	5	1.87519200793497	-0.6728144422	0.7340446891	1.532137807
-30	5	1.83474240824497	-0.5147493111	0.7386163633	1.584392283
-25	5	1.79505192016407	-0.3562481181	0.7418873055	1.621779323
-20	5	1.75650669556266	-0.1987406689	0.7439211672	1.645026468
-15	5	1.71941961511969	-0.04343794768	0.7447878721	1.654932951
-10	5	1.68403553605120	0.1086497124	0.7445601075	1.652329589
-5	5	1.65053927834336	0.2566892964	0.7433107036	1.638048837
0	5	1.61906642097786	0.4000000000	0.7411109365	1.612905384
5	5	1.58970710385848	0.5380288531	0.7380288531	1.577677010
10	5	1.56251415710921	0.6703262130	0.7341285321	1.533096137
15	5	1.53751094826772	0.7965237418	0.7294698144	1.479846751
20	5	1.51469636814695	0.9163147508	0.7241081914	1.418563119
25	5	1.49405158156239	1.029437892	0.7180951653	1.349833916
30	5	1.47554028370875	1.135661558	0.7114783346	1.274203195
35	5	1.45911862486442	1.234775067	0.7043024403	1.192182348
40	5	1.44473137486468	1.326576802	0.6966094646	1.104251233
45	5	1.43232250126659	1.410872429	0.6884398778	1.010872429

-45	10	1.91574131651463	-0.9442255721	0.8370232365	1.344225572
-40	10	1.87318991715201	-0.7932272165	0.8507427540	1.422032822
-35	10	1.83095400595327	-0.6394057342	0.8617442184	1.484425227
-30	10	1.78953274978949	-0.4845130867	0.8701367442	1.532021606
-25	10	1.74933783813605	-0.3300389720	0.8760528709	1.565573628
-20	10	1.71070105725816	-0.1772242491	0.8796388261	1.585910590
-15	10	1.67388162781400	-0.02708222298	0.8810462618	1.593892555
-10	10	1.63907273475134	0.1195745375	0.8804254625	1.590371828
-5	10	1.60641170374353	0.2621032374	0.8779208051	1.576167209
0	10	1.57599233385680	0.4000000000	0.8736681968	1.552049469
5	10	1.54787049883647	0.5328714988	0.8677927546	1.518728181
10	10	1.52207216153705	0.6604080837	0.8604080837	1.476847631
15	10	1.49860185809569	0.7823604981	0.8516166276	1.426988806
20	10	1.47744560472265	0.8985192627	0.8415098493	1.369670417
25	10	1.45857756051648	1.008698011	0.8301696757	1.305357097
30	10	1.44196074864310	1.112718531	0.8176694346	1.234464707
35	10	1.42755382210390	1.210401367	0.8040761036	1.157373096
40	10	1.41530787204851	1.301555073	0.7894512619	1.074431497
45	10	1.40517348801627	1.385973482	0.7738537271	0.9859734816

-45	15	1.87472180274653	-0.9024565808	0.9489921890	1.302456581
-40	15	1.83046836158690	-0.7525727363	0.9680503750	1.373582699
-35	15	1.78713472038399	-0.6012243756	0.9831396382	1.429896596
-30	15	1.74515841439468	-0.4499941939	0.9944836783	1.472233130
-25	15	1.70488097531089	-0.3001640269	1.002327481	1.501506601
-20	15	1.66655725803711	-0.1527439213	1.006921428	1.518651442
-15	15	1.63037422005398	-0.008511141177	1.008511141	1.524584334
-10	15	1.59645830080726	0.1319531858	1.007328062	1.520169024
-5	15	1.56488782765227	0.2682248495	1.003584233	1.506196863
0	15	1.53570670174863	0.4000000000	0.9974701421	1.483378765
5	15	1.50893250772401	0.5270632980	0.9891533681	1.452340142
10	15	1.48456349391901	0.6492595734	0.9787786822	1.413621287
15	15	1.46258542070736	0.7664695086	0.9664695086	1.367682826
20	15	1.44297606226052	0.8785891652	0.9523298563	1.314912925
25	15	1.42570953341431	0.9855133247	0.9364470211	1.255637377
30	15	1.41075726784216	1.087121282	0.9188940967	1.190128971
35	15	1.39809043741554	1.183266202	0.8997333432	1.118620065
40	15	1.38768004398877	1.273766638	0.8790193872	1.041314529
45	15	1.37949609789586	1.358400211	0.8568025625	0.9584002108

-45	20	1.83324612498524	-0.8553905916	1.056924808	1.255390592
-40	20	1.78770106845255	-0.7068928218	1.080128968	1.319143497
-35	20	1.74372052998915	-0.5584641123	1.098212870	1.368828612
-30	20	1.70165207309607	-0.4114684623	1.111561841	1.405504605
-25	20	1.66174190160692	-0.2669335410	1.120566096	1.430243594
-20	20	1.62415038845381	-0.1256003653	1.125600365	1.444075135
-15	20	1.58897370725648	0.01202206151	1.127011930	1.447953379
-10	20	1.55625976566893	0.1456068364	1.125112714	1.442735324
-5	20	1.52602013066041	0.2749639846	1.120174683	1.429168196
0	20	1.49824467265350	0.4000000000	1.112429858	1.407889463
5	20	1.47290979618553	0.5206843660	1.102070956	1.379428616
10	20	1.44998629732761	0.6370212284	1.089253951	1.344214183
15	20	1.42944371669358	0.7490256786	1.074100918	1.302581566
20	20	1.41125612885389	0.8567044666	1.056704467	1.254785209
25	20	1.39540340952993	0.9600396405	1.037131485	1.201008885
30	20	1.38187275652957	1.058974992	1.015427679	1.141378167
35	20	1.37065864256344	1.153404629	0.9916222611	1.075973319
40	20	1.36176255571846	1.243164008	0.9657332099	1.004843736
45	20	1.35518901789064	1.328021350	0.9377721480	0.9280213495

-45	25	1.79118362611084	-0.8028567080	1.160901295	1.202856708
-40	25	1.74483166291744	-0.6561931915	1.186951722	1.258722030
-35	25	1.70071488115662	-0.5112724776	1.206867695	1.301431972
-30	25	1.65905851871804	-0.3691774061	1.221240405	1.332254347
-25	25	1.61998795711632	-0.2306315374	1.230631537	1.352393696
-20	25	1.58355135330546	-0.09607170952	1.235552074	1.362945820
-15	25	1.54974262465356	0.03428294659	1.236451490	1.364874625
-10	25	1.51852378242794	0.1603705582	1.233714950	1.359006096
-5	25	1.48983606130535	0.2822380445	1.227661911	1.346025311
0	25	1.46361414608680	0.4000000000	1.218550066	1.326484898
5	25	1.43979420152165	0.5138064685	1.206579477	1.300813887
10	25	1.41832104440981	0.6238170281	1.191898040	1.269329442
15	25	1.39915130875227	0.7301796607	1.174606338	1.232247269
20	25	1.38225805829415	0.8330135026	1.154763806	1.189694821
25	25	1.36763080251282	0.9323935352	1.132393535	1.141721621
30	25	1.35527871839056	1.028338155	1.107488970	1.088313609
35	25	1.34522676889198	1.120795793	1.080018537	1.029403074
40	25	1.33751577987335	1.209634012	1.049932912	0.9648842430
45	25	1.33219894790031	1.294628790	1.017172256	0.8946287905

-45	30	1.74842659689138	-0.7446138896	1.260843137	1.144613890
-40	30	1.70183260898175	-0.6004374168	1.288360226	1.192274886
-35	30	1.65814485795961	-0.4597686578	1.308915056	1.227876895
-30	30	1.61743653075193	-0.3233396064	1.323339606	1.252860949
-25	30	1.57968834334203	-0.1915199583	1.332379581	1.268518644
-20	30	1.54482280312354	-0.06441479367	1.336681137	1.275969159
-15	30	1.51272680118406	0.05805623844	1.336786407	1.276151491
-10	30	1.48327400348113	0.1760941731	1.333138450	1.269833045
-5	30	1.45633699189041	0.2899724906	1.326087354	1.257620187
0	30	1.43179830653501	0.4000000000	1.315899153	1.239973707
5	30	1.40955724606688	0.5064932595	1.302764330	1.217223526
10	30	1.38953572755077	0.6097556792	1.286806394	1.189583570
15	30	1.37167867078023	0.7100605899	1.268087720	1.157161875
20	30	1.35596045862556	0.8076377532	1.246618169	1.119975522
25	30	1.34238250970291	0.9026599389	1.222359178	1.077957718
30	30	1.33097737761363	0.9952311786	1.195231179	1.030970644
35	30	1.32180362873742	1.085371562	1.165117389	0.9788120305
40	30	1.31494888401254	1.173004382	1.131872821	0.9212307498
45	30	1.31052536851736	1.257940243	1.095332030	0.8579402431

-45	35	1.70490288875921	-0.6803752644	1.356486904	1.080375264
-40	35	1.65871579317084	-0.5395712336	1.384048563	1.119737393
-35	35	1.61607585242884	-0.4040669243	1.404066924	1.148326575
-30	35	1.57687320414192	-0.2741685746	1.417628298	1.167694224
-25	35	1.54092919593242	-0.1498512185	1.425656541	1.179159743
-20	35	1.50803394615201	-0.03087289969	1.428915180	1.183813563
-15	35	1.47796913561084	0.08314164932	1.428017445	1.182531464
-10	35	1.45052524327723	0.1926400145	1.423441905	1.175996916
-5	35	1.42551286705214	0.2980998062	1.415548906	1.164724545
0	35	1.40276891636661	0.4000000000	1.404595196	1.149081026
5	35	1.38216108512296	0.4988012706	1.390746957	1.129303690
10	35	1.36359148164362	0.5949323607	1.374090884	1.105516353
15	35	1.34699675011262	0.6887794869	1.354641474	1.077739717
20	35	1.33235156426010	0.7806772277	1.332348526	1.045902087
25	35	1.31966813664457	0.8708984260	1.307101035	1.009844934
30	35	1.30899992301084	0.9596433562	1.278732682	0.9693307271
35	35	1.30044031409683	1.047024731	1.247024731	0.9240470798
40	35	1.29412417114945	1.133050140	1.211711905	0.8736151375
45	35	1.29022680443860	1.217600307	1.172489898	0.8176003068

-45	40	1.66059545934913	-0.6098419790	1.447358032	1.009841979
-40	40	1.61554659151770	-0.4735522188	1.473552219	1.041058995
-35	40	1.57461371822782	-0.3442948508	1.491932035	1.062963208
-30	40	1.53748157076079	-0.2218832312	1.503822199	1.077133353
-25	40	1.50380767233783	-0.1058725847	1.510294935	1.084847259
-20	40	1.47325288338094	0.004323452932	1.512195596	1.087112378
-15	40	1.44550339479460	0.1093541316	1.510175690	1.084705148
-10	40	1.42027852431993	0.2098833731	1.504721392	1.078204970
-5	40	1.39733823753007	0.3065597236	1.496181268	1.068027246
0	40	1.37648329085023	0.4000000000	1.484786404	1.054447376
5	40	1.35755699484174	0.4907800970	1.470667614	1.037621257
10	40	1.34044592300512	0.5794303392	1.453867802	1.017600021
15	40	1.32507892358033	0.6664322449	1.434349215	0.9943386746
20	40	1.31142968834959	0.7522151402	1.411999352	0.9677031444
25	40	1.29951772729732	0.8371505770	1.386632777	0.9374724376
30	40	1.28941152094997	0.9215434241	1.357992017	0.9033397090
35	40	1.28123361972162	1.005618746	1.325748352	0.8649132053
40	40	1.27516077697512	1.089500094	1.289500094	0.8217142137
45	40	1.27143021650190	1.173182655	1.248777281	0.7731826549

-45	45	1.61556268128413	-0.5327455489	1.532745549	0.9327455489
-40	45	1.57245752512453	-0.4023835706	1.556243503	0.9562435030
-35	45	1.53391710926097	-0.2806183584	1.572023752	0.9720237519
-30	45	1.49941219689234	-0.1667245408	1.581595699	0.9815956986
-25	45	1.46844314572783	-0.05983652905	1.586122619	0.9861226188
-20	45	1.44055881090294	0.04094998009	1.586481822	0.9864818222
-15	45	1.41536713590656	0.1365198003	1.583321492	0.9833214921
-10	45	1.39253443896351	0.2277100270	1.577104992	0.9771049915
-5	45	1.37178468785884	0.3152980770	1.568147410	0.9681474098
0	45	1.35289504261093	0.4000000000	1.556641259	0.9566412589
5	45	1.33569275612624	0.4824733983	1.542675256	0.9426752562
10	45	1.32005359202570	0.5633223505	1.526247077	0.9262470771
15	45	1.30589979319721	0.6431021108	1.507269429	0.9072694290
20	45	1.29320179644381	0.7223222317	1.485573053	0.8855730533
25	45	1.28197989923077	0.8014463814	1.460904543	0.8609045432
30	45	1.27230885225735	0.8808875448	1.432921660	0.8329216604
35	45	1.26432670506498	0.9609976975	1.401187743	0.8011877435
40	45	1.25824179554964	1.042047577	1.365162507	0.7651625070
45	45	1.25434271661997	1.124195105	1.324195105	0.7241951051


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	1.83830479449130	1.461345768	-0.4613457680	1.061345768
45	-40	1.78149219639255	1.483361751	-0.3090484460	1.083361751
45	-35	1.72933349625295	1.495856629	-0.1673270727	1.095856629
45	-30	1.68145224280713	1.500768883	-0.03552921084	1.100768883
45	-25	1.63742295720241	1.499599817	0.08724818430	1.099599817
45	-20	1.59681556499748	1.493485053	0.2020039890	1.093485053
45	-15	1.55922545913146	1.483266572	0.3097395969	1.083266572
45	-10	1.52428315598914	1.469549620	0.4114095448	1.069549620
45	-5	1.49166482623664	1.452753723	0.5078959837	1.052753723
45	0	1.46108915262619	1.433146048	0.6000000000	1.033146048
45	5	1.43232250331743	1.410872431	0.6884398779	1.010872431
45	10	1.40517349130758	1.385973484	0.7738537275	0.9859734840
45	15	1.37949609636211	1.358400210	0.8568025622	0.9584002097
45	20	1.35518902772252	1.328021356	0.9377721504	0.9280213562
45	25	1.33219896548052	1.294628802	1.017172262	0.8946288023
45	30	1.31052539938455	1.257940263	1.095332042	0.8579402633
45	35	1.29022681947275	1.217600316	1.172489905	0.8176003164
45	40	1.27143024994585	1.173182675	1.248777298	0.7731826752
45	45	1.25434271706115	1.124195105	1.324195105	0.7241951054

50	-45	1.85237873681580	1.526469303	-0.5264693029	0.9452199766
50	-40	1.79292992999465	1.555364903	-0.3694662641	0.9694662641
50	-35	1.73766789138265	1.573035021	-0.2213679641	0.9842932533
50	-30	1.68643326472611	1.581486368	-0.08213147253	0.9913847755
50	-25	1.63897221674841	1.582354998	0.04865881000	0.9921136423
50	-20	1.59498673694366	1.576939713	0.1716289771	0.9875696788
50	-15	1.55416885312157	1.566247663	0.2875048806	0.9785979836
50	-10	1.51621971861664	1.551038763	0.3970408102	0.9658362016
50	-5	1.48086759773331	1.531871225	0.5009740992	0.9497527274
50	0	1.44786941510493	1.509132320	0.6000000000	0.9306725205
50	5	1.41702222990290	1.483072308	0.6947565487	0.9088055743
50	10	1.38816013235034	1.453822281	0.7858173009	0.8842618869
50	15	1.36115970594454	1.421413679	0.8736869704	0.8570678411
50	20	1.33594078591003	1.385789868	0.9587981692	0.8271759146
50	25	1.31247036631672	1.346816475	1.041507773	0.7944733549
50	30	1.29076616861048	1.304288752	1.122091354	0.7587883583
50	35	1.27090125698658	1.257938211	1.200734803	0.7198956366
50	40	1.25300895598992	1.207439570	1.277522245	0.6775222451
50	45	1.23728915508892	1.152420779	1.352420779	0.6313559981

55	-45	1.86454883342915	1.581540868	-0.5815408679	0.8273238224
55	-40	1.80307919756421	1.617191763	-0.4213451593	0.8522868478
55	-35	1.74528995421142	1.640141564	-0.2683564719	0.8683564719
55	-30	1.69121265976310	1.652364013	-0.1230527003	0.8769147228
55	-25	1.64075906024446	1.655552194	0.01452639680	0.8791471107
55	-20	1.59376933599282	1.651116237	0.1446309302	0.8760410201
55	-15	1.55004413147773	1.640199075	0.2676896593	0.8683967414
55	-10	1.50937025586495	1.623704844	0.3842278197	0.8568473560
55	-5	1.47154096291099	1.602332100	0.4948095715	0.8418819996
55	0	1.43636258910708	1.576599351	0.6000000000	0.8238637352
55	5	1.40367029541593	1.546877930	0.7003388173	0.8030525720
55	10	1.37332635738080	1.513408793	0.7963240108	0.7796172302
55	15	1.34523050476490	1.476326534	0.8884008257	0.7536519529
55	20	1.31932004085612	1.435672282	0.9769538829	0.7251855387
55	25	1.29557393363627	1.391407413	1.062300869	0.6941909438
55	30	1.27401507723612	1.343424014	1.144686108	0.6605926060
55	35	1.25471314836662	1.291554967	1.224273508	0.6242735083
55	40	1.23778736835187	1.235584255	1.301138441	0.5850823945
55	45	1.22340938233671	1.175258957	1.375258957	0.5428421656

60	-45	1.87486059659158	1.627384372	-0.6273843716	0.7086306974
60	-40	1.81187382574288	1.669367884	-0.4651261236	0.7328698897
60	-35	1.75206778687140	1.697427992	-0.3084688604	0.7490704005
60	-30	1.69563144618911	1.713430470	-0.1583094357	0.7583094357
60	-25	1.64262516160837	1.719058061	-0.01508687534	0.7615585265
60	-20	1.59302250004064	1.715780409	0.1210950964	0.7596661732
60	-15	1.54673595024327	1.704841951	0.2503686531	0.7533508514
60	-10	1.50364498589378	1.687272673	0.3730190962	0.7432072243
60	-5	1.46361658519142	1.663906482	0.4894225111	0.7297167477
60	0	1.42651327986230	1.635396739	0.6000000000	0.7132566399
60	5	1.39221330487559	1.602246161	0.7051829098	0.6941171446
60	10	1.36060930178760	1.564819615	0.8053891257	0.6725089180
60	15	1.33162220978225	1.523369843	0.9010060422	0.6485778812
60	20	1.30520051426651	1.478049598	0.9923779648	0.6224122258
60	25	1.28132715009367	1.428929147	1.079797541	0.5940525199
60	30	1.26001954497772	1.376006943	1.163497871	0.5634978711
60	35	1.24133133248857	1.319221294	1.243645679	0.5307126615
60	40	1.22535416258881	1.258462217	1.320335329	0.4956333920
60	45	1.21221832465335	1.193583176	1.393583176	0.4581754602

65	-45	1.88339117300100	1.664778035	-0.6647780346	0.5897756834
65	-40	1.81928919169691	1.712435712	-0.5012643216	0.6119988232
65	-35	1.75790821517852	1.745197823	-0.3419176561	0.6272760467
65	-30	1.69955864206695	1.764776687	-0.1879541879	0.6364058210
65	-25	1.64442974357895	1.772798118	-0.04014627560	0.6401462756
65	-20	1.59261525310533	1.770747023	0.1010888851	0.6391898340
65	-15	1.54413465282378	1.759935625	0.2356063476	0.6341483964
65	-10	1.49896057405972	1.741497961	0.3634577148	0.6255507728
65	-5	1.45703323675321	1.716388874	0.4848308967	0.6138422131
65	0	1.41827400996473	1.685392779	0.6000000000	0.5993884968
65	5	1.38260620481848	1.649146128	0.7092861252	0.5824864054
65	10	1.34995309008642	1.608143396	0.8130282773	0.5633665177
65	15	1.32025408664648	1.562761656	0.9115610467	0.5422046648
65	20	1.29346477896410	1.513271389	1.005197648	0.5191269742
65	25	1.26956402280055	1.459853793	1.094217940	0.4942179403
65	30	1.24855644205230	1.402613669	1.178859271	0.4675264318
65	35	1.23047153776746	1.341589339	1.259307953	0.4390703195
65	40	1.21536652141709	1.276765735	1.335693805	0.4088425767
65	45	1.20332605223748	1.208085108	1.408085108	0.3768162743

70	-45	1.89022481351934	1.694409089	-0.6944090892	0.4711263794
70	-40	1.82532333858984	1.746904947	-0.5301874439	0.4902333089
70	-35	1.76274485664893	1.783762795	-0.3689211403	0.5036484687
70	-30	1.70289235059219	1.806529031	-0.2120599146	0.5119347009
70	-25	1.64605757583686	1.816744262	-0.06063869892	0.5156527409
70	-20	1.59243631101563	1.815877309	0.08466280419	0.5153371958
70	-15	1.54214394730914	1.805279728	0.2234564318	0.5114799918
70	-10	1.49523846061036	1.786165338	0.3555816511	0.5045229229
70	-5	1.45173073980999	1.759593731	0.4810509616	0.4948516487
70	0	1.41159872237301	1.726468903	0.6000000000	0.4827951973
70	5	1.37480682343856	1.687551945	0.7126461989	0.4686305832
70	10	1.34130746366503	1.643463142	0.8192561014	0.4525835711
70	15	1.31105543300312	1.594700161	0.9201189433	0.4348352975
70	20	1.28400953674825	1.541646893	1.015525487	0.4155254873
70	25	1.26014064433333	1.484589660	1.105752465	0.3947583527
70	30	1.23943587335188	1.423730324	1.191050978	0.3726073659
70	35	1.22189757066792	1.359195196	1.271635707	0.3491185001
70	40	1.20754754562587	1.291048576	1.347678532	0.3243151591
70	45	1.19642617669412	1.219301972	1.419301972	0.2982015308

75	-45	1.89544447378427	1.716853586	-0.7168535858	0.3528498549
75	-40	1.82998857928058	1.773222671	-0.5522706366	0.3679539057
75	-35	1.76653704723247	1.813416282	-0.3896847350	0.3787237512
75	-30	1.70555715835399	1.838825114	-0.2307060666	0.3855320272
75	-25	1.64741775147893	1.850898136	-0.07656491189	0.3887669838
75	-20	1.59239517636929	1.851071195	0.07185327732	0.3888133548
75	-15	1.54068429572343	1.840714109	0.2139618180	0.3860381820
75	-10	1.49241525519275	1.821097839	0.3494221087	0.3807820184
75	-5	1.44766035506236	1.793365995	0.4780962713	0.3733512932
75	0	1.40644802144701	1.758524467	0.6000000000	0.3640155339
75	5	1.36877927663799	1.717443344	0.7152613574	0.3530078801
75	10	1.33462972100328	1.670852336	0.8240855553	0.3405238570
75	15	1.30396623818357	1.619355946	0.9267254410	0.3267254410
75	20	1.27674849341906	1.563437939	1.023456779	0.3117422561
75	25	1.25293808904835	1.503475749	1.114559192	0.2956754359
75	30	1.23250263904239	1.439751580	1.200300854	0.2786005961
75	35	1.21541987026538	1.372464312	1.280926842	0.2605710270
75	40	1.20167960219634	1.301739875	1.356649597	0.2416204713
75	45	1.19128362603506	1.227640238	1.427640238	0.2217655333

80	-45	1.89911954190295	1.732562508	-0.7325625076	0.2349667236
80	-40	1.83330337328339	1.791752937	-0.5678193765	0.2454035933
80	-35	1.76925973463820	1.834407296	-0.4043828012	0.2529247075
80	-30	1.70749813112726	1.861791649	-0.2439658020	0.2577533079
80	-25	1.64844015103941	1.875275028	-0.08793204322	0.2601307913
80	-20	1.59241979842750	1.876257592	0.06268617858	0.2603040439
80	-15	1.53969104322521	1.866114479	0.2071558093	0.2585155395
80	-10	1.49043892599632	1.846154297	0.3450039792	0.2549960208
80	-5	1.44478338743949	1.817581928	0.4759776517	0.2499579412
80	0	1.40279205248777	1.781480489	0.6000000000	0.2435922836
80	5	1.36449467897596	1.738804844	0.7171302465	0.2360674158
80	10	1.32988504100776	1.690370865	0.8275271987	0.2275271987
80	15	1.29893767914883	1.636865894	0.9314172175	0.2180928287
80	20	1.27161179891108	1.578851565	1.029066880	0.2078633372
80	25	1.24786043039426	1.516775353	1.120760899	0.1969176260
80	30	1.22763557959266	1.450980616	1.206783942	0.1853162389
80	35	1.21089393715756	1.381718548	1.287406728	0.1731034675
80	40	1.19760018027371	1.309158622	1.362874664	0.1603091948
80	45	1.18772707540620	1.233397022	1.433397022	0.1469503806

85	-45	1.90130310456761	1.741859034	-0.7418590338	0.1173974535
85	-40	1.83528476464111	1.802762825	-0.5770577690	0.1227258448
85	-35	1.77089839909860	1.846924037	-0.4131471179	0.1265894502
85	-30	1.70867739598137	1.875528809	-0.2518969550	0.1290920435
85	-25	1.64907392419642	1.889892277	-0.09474817850	0.1303486841
85	-20	1.59245645599247	1.891388007	0.05717915785	0.1304795435
85	-15	1.53911529663329	1.881390928	0.2030624971	0.1296049125
85	-10	1.48926979803990	1.861230776	0.3423455891	0.1278411277
85	-5	1.44306999992944	1.832149581	0.4747031472	0.1252968528
85	0	1.40060836670595	1.795278629	0.6000000000	0.1220710625
85	5	1.36193291232604	1.751626497	0.7182519958	0.1182519958
85	10	1.32704878297756	1.702063955	0.8295890059	0.1139158353
85	15	1.29593551858276	1.647331584	0.9342214906	0.1091273732
85	20	1.26855073522068	1.588039613	1.032411056	0.1039399980
85	25	1.24484171342729	1.524679754	1.124446782	0.09839672853
85	30	1.22475003108330	1.457633207	1.210624817	0.09253091581
85	35	1.20821877721385	1.387182998	1.291232977	0.08636732114
85	40	1.19519672823214	1.313524468	1.366538044	0.07992303483
85	45	1.18563868188247	1.236773459	1.436773459	0.07320819164

90	-45	1.90202646292051	1.744935810	-0.7449358099	0.000000000
90	-40	1.83594305597795	1.806413976	-0.5801214485	0.000000000
90	-35	1.77144460153905	1.851082467	-0.4160588817	0.000000000
90	-30	1.70907215107283	1.880099900	-0.2545360755	0.000000000
90	-25	1.64928786029033	1.894762431	-0.09701916863	0.000000000
90	-20	1.59247164971764	1.896433858	0.05534261812	0.000000000
90	-15	1.53892607802570	1.886488444	0.2016966220	0.000000000
90	-10	1.48888217287958	1.866262707	0.3414583239	0.000000000
90	-5	1.44250026482729	1.837011116	0.4742778180	0.000000000
90	0	1.39988133281479	1.799881333	0.6000000000	0.000000000
90	5	1.36107965980131	1.755900341	0.7186259087	0.000000000
90	10	1.32610429360772	1.705957790	0.8302755940	0.000000000
90	15	1.29493643013571	1.650812541	0.9351542103	0.000000000
90	20	1.26753301020203	1.591091416	1.033521822	0.000000000
90	25	1.24383927489234	1.527301221	1.125669192	0.000000000
90	30	1.22379326535946	1.459836057	1.211896633	0.000000000
90	35	1.20733323531290	1.388989488	1.292497895	0.000000000
90	40	1.19440250340951	1.314965401	1.367747130	0.000000000
90	45	1.18494977921891	1.237886024	1.437886024	0.000000000


### +y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	1.25434275412537	1.124195127	1.324195127	0.7241951268
40	45	1.25824188432611	1.042047623	1.365162561	0.7651625610
35	45	1.26432675911388	0.9609977215	1.401187778	0.8011877777
30	45	1.27230890987745	0.8808875666	1.432921698	0.8329216981
25	45	1.28197992289691	0.8014463888	1.460904559	0.8609045591
20	45	1.29320180376051	0.7223222335	1.485573058	0.8855730583
15	45	1.30589980157489	0.6431021124	1.507269435	0.9072694348
10	45	1.32005359650078	0.5633223510	1.526247080	0.9262470802
5	45	1.33569275918779	0.4824733985	1.542675258	0.9426752584
0	45	1.35289504676809	0.4000000000	1.556641262	0.9566412618
-5	45	1.37178469619598	0.3152980765	1.568147416	0.9681474157
-10	45	1.39253445782877	0.2277100247	1.577105005	0.9771050048
-15	45	1.41536716171726	0.1365197955	1.583321510	0.9833215101
-20	45	1.44055885537505	0.04094996901	1.586481853	0.9864818526
-25	45	1.46844321770875	-0.05983655159	1.586122667	0.9861226672
-30	45	1.49941228845205	-0.1667245754	1.581595759	0.9815957585
-35	45	1.53391728560421	-0.2806184366	1.572023864	0.9720238636
-40	45	1.57245766301364	-0.4023836410	1.556243587	0.9562435868
-45	45	1.61556288421953	-0.5327456661	1.532745666	0.9327456661

45	50	1.23728918192525	1.152420795	1.352420795	0.6313560118
40	50	1.23926376101338	1.070089995	1.398582159	0.6700899954
35	50	1.24378491181909	0.9879173379	1.439632974	0.7045357190
30	50	1.25058404977078	0.9058384208	1.476137845	0.7351669428
25	50	1.25945877395698	0.8236749666	1.508573898	0.7623840226
20	50	1.27026742819204	0.7411600517	1.537329538	0.7865128700
15	50	1.28292688358999	0.6579567779	1.562707801	0.8078077610
10	50	1.29740674654154	0.5736691713	1.584926814	0.8264517264
5	50	1.31372669265758	0.4878491563	1.604120451	0.8425571005
0	50	1.33195484748396	0.4000000000	1.620336609	0.8561640726
-5	50	1.35220543987298	0.3095777625	1.633530904	0.8672354007
-10	50	1.37464027748729	0.2159924492	1.643558678	0.8756497016
-15	50	1.39946764629017	0.1186104918	1.650159941	0.8811888194
-20	50	1.42694310783366	0.01676102715	1.652940424	0.8835219216
-25	50	1.45736969649714	-0.09025110647	1.651346891	0.8821847882
-30	50	1.49109206234264	-0.2031195218	1.644633655	0.8765517144
-35	50	1.52849223662311	-0.3224939603	1.631828309	0.8658067538
-40	50	1.56996854347402	-0.4489074298	1.611688479	0.8489074298
-45	50	1.61591034553271	-0.5826680496	1.582668050	0.8245563980

45	55	1.22340942255646	1.175258982	1.375258982	0.5428421834
40	55	1.22358793360621	1.093095242	1.425998745	0.5783705476
35	55	1.22659102270958	1.010281547	1.471572375	0.6102815468
30	55	1.23218676501281	0.9268030384	1.512449628	0.6389041078
25	55	1.24019558302563	0.8425401598	1.549030435	0.6645182647
20	55	1.25048702027487	0.7572870291	1.581638045	0.6873503588
15	55	1.26298215413358	0.6707677939	1.610519164	0.7075731361
10	55	1.27765043496561	0.5826466495	1.635840623	0.7253034123
5	55	1.29450690747295	0.4925354711	1.657685275	0.7405992027
0	55	1.31361248578144	0.4000000000	1.676048353	0.7534571683
-5	55	1.33507079350193	0.3045648933	1.690828262	0.7638061716
-10	55	1.35902927209520	0.2057198305	1.701817593	0.7715009846
-15	55	1.38567468639812	0.1029284407	1.708686153	0.7763104017
-20	55	1.41523306367653	-0.004357989048	1.710964444	0.7779056786
-25	55	1.44796528370464	-0.1166788180	1.708021301	0.7758448674
-30	55	1.48415710214254	-0.2345291907	1.699036797	0.7695538502
-35	55	1.52411034383676	-0.3583101465	1.682979124	0.7583101465
-40	55	1.56811753767890	-0.4882523066	1.658577878	0.7412242096
-45	55	1.61643242447172	-0.6243126570	1.624312657	0.7172314439

45	60	1.21221834835638	1.193583191	1.393583191	0.4581754692
40	60	1.21078741868050	1.111772140	1.448257005	0.4897414099
35	60	1.21238682508968	1.028637594	1.497787526	0.5183378699
30	60	1.21683059031455	0.9441831834	1.542552922	0.5441831834
25	60	1.22397100602445	0.8583203272	1.582871114	0.5674609020
20	60	1.23370037269988	0.7708831219	1.618993003	0.5883158844
15	60	1.24595357696858	0.6816411083	1.651098926	0.6068522477
10	60	1.26070734131916	0.5903085465	1.679293400	0.6231303350
5	60	1.27797791148385	0.4965523278	1.703598157	0.6371626932
0	60	1.29782167198969	0.4000000000	1.723946538	0.6489108360
-5	60	1.32033180933116	0.3002477988	1.740172877	0.6582791173
-10	60	1.34563880168124	0.1968707280	1.752003347	0.6651094428
-15	60	1.37390450350619	0.08943627257	1.759039610	0.6691718307
-20	60	1.40531930566259	-0.02247633454	1.760744189	0.6701559702
-25	60	1.44009483945257	-0.1392486708	1.756422506	0.6676608454
-30	60	1.47845270920595	-0.2611841519	1.745204544	0.6611841519
-35	60	1.52060895898754	-0.3884545897	1.726029851	0.6501136374
-40	60	1.56675395458689	-0.5210302299	1.697641085	0.6337233761
-45	60	1.61702138719995	-0.6585889867	1.658588987	0.6111766365

45	65	1.20332606383145	1.208085116	1.408085116	0.3768162779
40	65	1.20050741404436	1.126699191	1.466046371	0.4038440551
35	65	1.20086634019640	1.043444976	1.518934659	0.4285062689
30	65	1.20426342131845	0.9583240158	1.567045562	0.4509407516
25	65	1.21058769549857	0.8712595400	1.610619345	0.4712595400
20	65	1.21976021587721	0.7821085652	1.649834655	0.4895459392
15	65	1.23173579357982	0.6906719979	1.684802665	0.5058517901
10	65	1.24650437289891	0.5967036345	1.715561746	0.5201949853
5	65	1.26408663962992	0.4999179161	1.742067007	0.5325545917
0	65	1.28453794782565	0.4000000000	1.764186745	0.5428691947
-5	65	1.30794211197318	0.2966155909	1.781689203	0.5510307249
-10	65	1.33441196436714	0.1894241777	1.794234832	0.5568808480
-15	65	1.36408224709215	0.07809613540	1.801361578	0.5602041040
-20	65	1.39710500173982	-0.03766453494	1.802473427	0.5607225678
-25	65	1.43364014175706	-0.1580897578	1.796827348	0.5580897578
-30	65	1.47384424610672	-0.2833078408	1.783523897	0.5518862570
-35	65	1.51785172498837	-0.4132912326	1.761500253	0.5416164628
-40	65	1.56576073585374	-0.5477967783	1.729540216	0.5267132527
-45	65	1.61760176455721	-0.6862890354	1.686289035	0.5065448962

45	70	1.19642618940599	1.219301981	1.419301981	0.2982015339
40	70	1.19246116716173	1.138337482	1.479916347	0.3202633590
35	70	1.19177508261466	1.055078395	1.535548905	0.3405119539
30	70	1.19427120050913	0.9695132571	1.586425897	0.3590296648
25	70	1.19987500112791	0.8815650869	1.632719662	0.3758792172
20	70	1.20853770790247	0.7911016278	1.674542891	0.3911016278
15	70	1.22023681775356	0.6979438633	1.711941636	0.4047136576
10	70	1.23497689986240	0.6018748331	1.744889071	0.4167055434
5	70	1.25278693535509	0.5026483750	1.773276295	0.4270376479
0	70	1.27372343500545	0.4000000000	1.796908513	0.4356390718
-5	70	1.29786206383072	0.2936583484	1.815490640	0.4424024128
-10	70	1.32529892047295	0.1833607264	1.828622374	0.4471819731
-15	70	1.35614190114202	0.06887234402	1.835785236	0.4497890418
-20	70	1.39050544179396	-0.04998922103	1.836335224	0.4499892210
-25	70	1.42849980118718	-0.1733227464	1.829494597	0.4474994366
-30	70	1.47022103307832	-0.3011057194	1.814350728	0.4419875188
-35	70	1.51573129873404	-0.4331461543	1.789856020	0.4330721742
-40	70	1.56504944332941	-0.5690333720	1.754849002	0.4203306620
-45	70	1.61812386202691	-0.7080767851	1.708076785	0.4033069670

45	75	1.19128362778707	1.227640239	1.427640239	0.2217655336
40	75	1.18642341800181	1.147043387	1.490291641	0.2385529262
35	75	1.18490895985075	1.063833409	1.548052360	0.2540298641
30	75	1.18667919419438	0.9779821573	1.601094462	0.2682424527
25	75	1.19169160995368	0.8894063624	1.649535331	0.2812221444
20	75	1.19992491373398	0.7979768465	1.693432399	0.2929843283
15	75	1.21137765204246	0.7035261849	1.732775144	0.3035261849
10	75	1.22607020994535	0.6058583137	1.767480512	0.3128254604
5	75	1.24404028964480	0.5047574104	1.797382680	0.3208377222
0	75	1.26534659476784	0.4000000000	1.822230955	0.3274957974
-5	75	1.29005860086133	0.2913675068	1.841675079	0.3327058348
-10	75	1.31825769699103	0.1786633226	1.855262675	0.3363466199
-15	75	1.35002773391900	0.06173326135	1.862428655	0.3382667387
-20	75	1.38544966166965	-0.05950949181	1.862491953	0.3382836992
-25	75	1.42459031895533	-0.1850536834	1.854651673	0.3361829025
-30	75	1.46749409161277	-0.3147554326	1.837992724	0.3317191507
-35	75	1.51416429046774	-0.4482954189	1.811491412	0.3246181454
-40	75	1.56455574827973	-0.5851381962	1.774041985	0.3145836016
-45	75	1.61855468524302	-0.7244853493	1.724485349	0.3013049412

45	80	1.18772707660520	1.233397022	1.433397022	0.1469503807
40	80	1.18222654815088	1.153081618	1.497487724	0.1582513005
35	80	1.18011301917453	1.069932852	1.556763267	0.1687031782
30	80	1.18135204169580	0.9839073585	1.611357212	0.1783295636
25	80	1.18592586166078	0.8949141773	1.661346878	0.1871440905
20	80	1.19383520074711	0.8028235234	1.706748534	0.1951496275
15	80	1.20509516399068	0.7074737861	1.747507792	0.2023365842
10	80	1.21973992401086	0.6086827052	1.783498432	0.2086827052
5	80	1.23781509903015	0.5062558835	1.814510306	0.2141509353
0	80	1.25938165798553	0.4000000000	1.840248821	0.2186893299
-5	80	1.28450463034569	0.2897362179	1.860320797	0.2222285608
-10	80	1.31325390343011	0.1753181872	1.874233880	0.2246818128
-15	80	1.34569431461713	0.05665306925	1.881388190	0.2259433107
-20	80	1.38188047912249	-0.06627370604	1.881076479	0.2258883475
-25	80	1.42184559158831	-0.1933689145	1.872483743	0.2243732165
-30	80	1.46559476889632	-0.3244001279	1.854697827	0.2212370795
-35	80	1.51308779574323	-0.4589577488	1.826718797	0.2163036216
-40	80	1.56423302372527	-0.5964208112	1.787488082	0.2093861880
-45	80	1.61887367919000	-0.7359213161	1.735921316	0.2002935760

45	85	1.18563868210876	1.236773460	1.436773460	0.07320819165
40	85	1.17975408048167	1.156633920	1.501721193	0.07889038201
35	85	1.17727868880346	1.073531870	1.561903198	0.08415562521
30	85	1.17819439122300	0.9874135262	1.617430072	0.08901359727
25	85	1.18249897237471	0.8981820373	1.668354827	0.09346893595
20	85	1.19020713339501	0.8057060625	1.714668246	0.09752083509
15	85	1.20134490817973	0.7098265926	1.756288585	0.1011621430
10	85	1.21595544758500	0.6103690580	1.793062214	0.1043794186
5	85	1.23408993878234	0.5071518259	1.824750974	0.1071518259
0	85	1.25581108506905	0.4000000000	1.851032345	0.1094511479
-5	85	1.28118123434150	0.2887593973	1.871485907	0.1112406027
-10	85	1.31026294618798	0.1733150649	1.885594151	0.1124749141
-15	85	1.34310887835399	0.05361251012	1.892735711	0.1130997197
-20	85	1.37975684768414	-0.07031789862	1.892187806	0.1130517842
-25	85	1.42021880969478	-0.1983324438	1.883128067	0.1122591597
-30	85	1.46447539166270	-0.3301449237	1.864648105	0.1106423725
-35	85	1.51245967264548	-0.4652919665	1.835764997	0.1081154280
-40	85	1.56405192355359	-0.6031028989	1.795451483	0.1045884526
-45	85	1.61907015898429	-0.7426709997	1.742671000	0.09997075861

45	90	1.18494977933038	1.237886024	1.437886024	0.000000000
40	90	1.17893712882836	1.157806179	1.503118236	0.000000000
35	90	1.17634061814583	1.074721260	1.563601822	0.000000000
30	90	1.17714768656753	0.9885738433	1.619439801	0.000000000
25	90	1.18136140050738	0.8992649016	1.670677037	0.000000000
20	90	1.18900126174221	0.8066623820	1.717295712	0.000000000
15	90	1.20009718123264	0.7106080065	1.759204861	0.000000000
10	90	1.21469537964475	0.6109296391	1.796241427	0.000000000
5	90	1.23284901293042	0.5074498714	1.828157650	0.000000000
0	90	1.25462142900773	0.4000000000	1.854621429	0.000000000
-5	90	1.28007407735639	0.2884341930	1.875203009	0.000000000
-10	90	1.30926699907203	0.1726481715	1.889376291	0.000000000
-15	90	1.34224865572935	0.05260048463	1.896512642	0.000000000
-20	90	1.37905109532199	-0.07166325328	1.895884138	0.000000000
-25	90	1.41967901744855	-0.1999822786	1.886666149	0.000000000
-30	90	1.46410473465290	-0.3320523673	1.867951894	0.000000000
-35	90	1.51225232836916	-0.4673923014	1.838764586	0.000000000
-40	90	1.56399268584824	-0.6053151201	1.798087906	0.000000000
-45	90	1.61913549828314	-0.7449016905	1.744901690	0.000000000


### -x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = 180 - dsigma = 180 - dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-90	45	1.61913549119901	-0.7449016855	1.744901685	1.402100184e-16
-90	40	1.67741401095331	-0.8849736819	1.678220943	1.573638907e-16
-90	35	1.73848511753198	-1.024083638	1.597154098	1.743999469e-16
-90	30	1.80192961069252	-1.160516819	1.500964805	1.911081927e-16
-90	25	1.86724631361655	-1.292299874	1.389132391	2.072469624e-16
-90	20	1.93386553897421	-1.417239177	1.261420969	2.225476141e-16
-90	15	2.00114618298753	-1.532958780	1.117934744	2.367191783e-16
-90	10	2.06840074986710	-1.636977095	0.9591740209	2.494577479e-16
-90	5	2.13489656006857	-1.726772634	0.7860684954	2.604545299e-16
-90	-2.84217e-14	2.19987551214144	-1.799875512	0.6000000000	2.694070504e-16
-90	-5	2.26257746668096	-1.853967676	0.4028033804	2.760314300e-16
-90	-10	2.32224996565598	-1.886969771	0.1967455254	2.800730209e-16
-90	-15	2.37815529935303	-1.897121623	-0.01551188368	2.813162642e-16
-90	-20	2.42958935963946	-1.883067193	-0.2309685010	2.795950930e-16
-90	-25	2.47589785600814	-1.843925507	-0.4463596482	2.748016189e-16
-90	-30	2.51648724207022	-1.779341880	-0.6582436210	2.668924058e-16
-90	-35	2.55083511105004	-1.689521796	-0.8630989127	2.558926179e-16
-90	-40	2.57848932237750	-1.575237417	-1.057420988	2.418968180e-16
-90	-45	2.59908753924548	-1.437832424	-1.237832424	2.250695595e-16

-85	45	1.61907014823530	-0.7426709921	1.742670992	0.09997075795
-85	40	1.67718756434963	-0.8819244244	1.675662312	0.1121538546
-85	35	1.73804066919883	-1.020077415	1.594348911	0.1242406752
-85	30	1.80121003575067	-1.155435394	1.498031043	0.1360829638
-85	25	1.86620085545086	-1.286060401	1.386222877	0.1475111711
-85	20	1.93245084338336	-1.409803967	1.258714774	0.1583373303
-85	15	1.99933392595347	-1.524349103	1.115627788	0.1683587312
-85	10	2.06618085688484	-1.627280122	0.9574641829	0.1773640285
-85	5	2.13227881827031	-1.716142818	0.7851385070	0.1851385070
-85	-2.84217e-14	2.19689239167268	-1.788532553	0.6000000000	0.1914717881
-85	-5	2.25928099699198	-1.842183909	0.4038343264	0.1961656736
-85	-10	2.31871105966780	-1.875055847	0.1988462715	0.1990415955
-85	-15	2.37446165783637	-1.885407706	-0.01237314914	0.1999472658
-85	-20	2.42584005586127	-1.871879241	-0.2268964197	0.1987636785
-85	-25	2.47219664566093	-1.833560688	-0.4415264539	0.1954112395
-85	-30	2.51293588892827	-1.770046439	-0.6528768959	0.1898544628
-85	-35	2.54752641681873	-1.681473002	-0.8574630866	0.1821052911
-85	-40	2.57550339673058	-1.568533979	-1.051796136	0.1722244069
-85	-45	2.59648405265540	-1.432488241	-1.232488241	0.1603219472

-80	45	1.61887365474087	-0.7359212989	1.735921299	0.2002935730
-80	40	1.67650732033112	-0.8727211555	1.667939852	0.2244150786
-80	35	1.73670811505824	-1.008016439	1.585903724	0.2482712874
-80	30	1.79905774983385	-1.140175973	1.489221012	0.2715745790
-80	25	1.86307804964223	-1.267365672	1.377505382	0.2940015548
-80	20	1.92823210214236	-1.387573404	1.250623510	0.3151974210
-80	15	1.99393758562306	-1.498654134	1.108742842	0.3347839509
-80	10	2.05957674140599	-1.598381619	0.9523685973	0.3523685973
-80	5	2.12449575328179	-1.684497103	0.7823698656	0.3675530804
-80	-2.84217e-14	2.18802474612499	-1.754783734	0.6000000000	0.3799465099
-80	-5	2.24948097387421	-1.807129181	0.4069012177	0.3891764246
-80	-10	2.30818532979887	-1.839603431	0.2050974889	0.3949025111
-80	-15	2.36346495813593	-1.850523059	-0.003025836170	0.3968279360
-80	-20	2.41466122531906	-1.838518994	-0.2147542826	0.3947112954
-80	-25	2.46114040085166	-1.802602849	-0.4270905762	0.3883783100
-80	-30	2.50230371020900	-1.742225868	-0.6368146818	0.3777322194
-80	-35	2.53759713573466	-1.657328143	-0.8405566744	0.3627624598
-80	-40	2.56651920564421	-1.548374009	-1.034879912	0.3435509063
-80	-45	2.58862978956513	-1.416373813	-1.216373813	0.3202757103

-75	45	1.61855463654742	-0.7244853155	1.724485315	0.3013049322
-75	40	1.67538015987107	-0.8572045770	1.654919897	0.3368669511
-75	35	1.73449811349508	-0.9877817495	1.571735242	0.3718549990
-75	30	1.79549521694172	-1.114697761	1.474511160	0.4058620419
-75	25	1.85792205772159	-1.236291492	1.363015254	0.4384429838
-75	20	1.92128804880550	-1.350775050	1.237230005	0.4691187608
-75	15	1.98507905669550	-1.456273483	1.097386981	0.4973869807
-75	10	2.04875453446811	-1.550851569	0.9439877670	0.5227291025
-75	5	2.11175816257759	-1.632556879	0.7778256849	0.5446219744
-75	-2.84217e-14	2.17351410360246	-1.699453406	0.6000000000	0.5625468448
-75	-5	2.23343872333148	-1.749673823	0.4119279102	0.5760033648
-75	-10	2.29093647349802	-1.781460462	0.2153496632	0.5845205692
-75	-15	2.34540915246691	-1.793222886	0.01232769899	0.5876723010
-75	-20	2.39625418072767	-1.783588263	-0.1947611316	0.5850907116
-75	-25	2.44286882716253	-1.751460262	-0.4032423964	0.5764820397
-75	-30	2.48465723542243	-1.696081747	-0.6101733611	0.5616434115
-75	-35	2.52104081154475	-1.617099010	-0.8123879323	0.5404800508
-75	-40	2.55146151214977	-1.514615660	-1.006553294	0.5130197200
-75	-45	2.57539683020512	-1.389248167	-1.189248167	0.4794276015

-70	45	1.61812377511863	-0.7080767255	1.708076726	0.4033069454
-70	40	1.67381512527150	-0.8351071310	1.636377938	0.4495422318
-70	35	1.73142853198436	-0.9591793368	1.551707617	0.4947008216
-70	30	1.79056398926395	-1.078942713	1.453867973	0.5382911256
-70	25	1.85081372282493	-1.192975701	1.342816769	0.5797957392
-70	20	1.91175342289243	-1.299790612	1.218673187	0.6186731873
-70	15	1.97295660295268	-1.397858055	1.081734614	0.6543668176
-70	10	2.03398582475792	-1.485612712	0.9324843963	0.6863069005
-70	5	2.09440246093616	-1.561477000	0.7716070012	0.7139192430
-70	-2.84217e-14	2.15375380938002	-1.623866562	0.6000000000	0.7366271866
-70	-5	2.21157451990107	-1.671212498	0.4187923866	0.7538596982
-70	-10	2.26738491348165	-1.701986043	0.2293631475	0.7650603526
-70	-15	2.32068294744590	-1.714723925	0.03336143215	0.7696965623
-70	-20	2.37094317464343	-1.708068385	-0.1672741438	0.7672741438
-70	-25	2.41761272251519	-1.680813577	-0.3702993060	0.7573542050
-70	-30	2.46011743994079	-1.631970252	-0.5731585720	0.7395766886
-70	-35	2.49785722268987	-1.560829373	-0.7729875083	0.7136835264
-70	-40	2.53021685816672	-1.467045432	-0.9666371338	0.6795489634
-70	-45	2.55658010272121	-1.350723247	-1.150723247	0.6372111502

-65	45	1.61760160107869	-0.6862889256	1.686288926	0.5065448450
-65	40	1.67183009527015	-0.8060586799	1.612003393	0.5623943986
-65	35	1.72752787079311	-0.9219499807	1.525639342	0.6164353997
-65	30	1.78432367870673	-1.032844563	1.427253194	0.6681463926
-65	25	1.84186512757236	-1.137620559	1.317004242	0.7170042419
-65	20	1.89981323161018	-1.235149058	1.195145586	0.7624825279
-65	15	1.95784112208289	-1.324291262	1.062022451	0.8040502205
-65	10	2.01563355962411	-1.403895551	0.9180754561	0.8411703101
-65	5	2.07287919415645	-1.472788513	0.7638477641	0.8732956257
-65	-2.84217e-14	2.12926064452174	-1.529765503	0.6000000000	0.8998644324
-65	-5	2.18445023591756	-1.573589836	0.4273332629	0.9203000546
-65	-10	2.23809542285892	-1.602988270	0.2468191259	0.9340087696
-65	-15	2.28981221421658	-1.616661694	0.05963712780	0.9403847916
-65	-20	2.33917449071776	-1.613302624	-0.1327822278	0.9388184319
-65	-25	2.38570412190258	-1.591626667	-0.3287107669	0.9287107669
-65	-30	2.42886656686294	-1.550424296	-0.5260779921	0.9094977857
-65	-35	2.46806651520357	-1.488629722	-0.7224327682	0.8806825027
-65	-40	2.50264803799863	-1.405410967	-0.9149196766	0.8418769600
-65	-45	2.53190439276090	-1.300282505	-1.100282505	0.7928547532

-60	45	1.61702115054803	-0.6585888318	1.658588832	0.6111765470
-60	40	1.66945458446933	-0.7695913942	1.581403708	0.6752639063
-60	35	1.72284138650876	-0.8757854790	1.493314610	0.7365750898
-60	30	1.77685926360945	-0.9763492673	1.394635620	0.7946356200
-60	25	1.83122622431255	-1.070508165	1.285709219	0.8489982850
-60	20	1.88569853988738	-1.157520497	1.166891100	0.8992348781
-60	15	1.94006443820212	-1.236657805	1.038541137	0.9449248244
-60	10	1.99413027284111	-1.307177845	0.9010215149	0.9856395884
-60	5	2.04772083919749	-1.368309862	0.7547070666	1.020934175
-60	-2.84217e-14	2.10065263839899	-1.419218549	0.6000000000	1.050326319
-60	-5	2.15273379206242	-1.458993825	0.4373591147	1.073290585
-60	-10	2.20374914083546	-1.486632865	0.2673357233	1.089247992
-60	-15	2.25344411552074	-1.501028042	0.09062107135	1.097559052
-60	-20	2.30151056400843	-1.500966566	-0.09189524620	1.097523558
-60	-25	2.34756969679147	-1.485141421	-0.2790558815	1.088386907
-60	-30	2.39116031735095	-1.452184817	-0.4693594029	1.069359403
-60	-35	2.43172663546595	-1.400723825	-0.6608803962	1.039648385
-60	-40	2.46860802310651	-1.329464657	-0.8511931554	0.9985068850
-60	-45	2.50103838966103	-1.237313962	-1.037313962	0.9453036569

-55	45	1.61643209694206	-0.6243124495	1.624312449	0.7172312986
-55	40	1.66673631283403	-0.7251517479	1.544114417	0.7878397355
-55	35	1.71743835033570	-0.8203511958	1.454499107	0.8544991065
-55	30	1.76828372403422	-0.9094360953	1.356003282	0.9168770247
-55	25	1.81908036976169	-0.9920083724	1.249104164	0.9746947556
-55	20	1.86968716460576	-1.067712997	1.134203843	1.027703705
-55	15	1.92000637250394	-1.136207957	1.011625681	1.075664391
-55	10	1.96996733950669	-1.197128713	0.8816168839	1.118321565
-55	5	2.01951645997507	-1.250059038	0.7443614600	1.155383777
-55	-2.84217e-14	2.06860083521490	-1.294498603	0.6000000000	1.186500695
-55	-5	2.11715815610710	-1.329837820	0.4486588010	1.211245481
-55	-10	2.16510468201500	-1.355334104	0.2904872373	1.229098172
-55	-15	2.21231608059096	-1.370086607	0.1257067231	1.239427986
-55	-20	2.25861218203848	-1.373020919	-0.04532683938	1.241482613
-55	-25	2.30373865186559	-1.362881698	-0.2220452363	1.234383054
-55	-30	2.34734486226785	-1.338238072	-0.4035722186	1.217127401
-55	-35	2.38896140650099	-1.297511825	-0.5886105763	1.188610576
-55	-40	2.42797630469412	-1.239036578	-0.7753149883	1.147665768
-55	-45	2.46361764312410	-1.161163149	-0.9611631490	1.093138205

-50	45	1.61590982759268	-0.5826677346	1.582667735	0.8245561337
-50	40	1.66374681705432	-0.6721192435	1.499614862	0.8996148618
-50	35	1.71141478106059	-0.7553125215	1.408958537	0.9694223107
-50	30	1.75874518705393	-0.8321468667	1.311380325	1.033893981
-50	25	1.80564749612112	-0.9025945888	1.207409832	1.093006639
-50	20	1.85208941095771	-0.9666556145	1.097421964	1.146760222
-50	15	1.89808142899304	-1.024319517	0.9816452643	1.195145981
-50	10	1.94366153279862	-1.075531375	0.8601759923	1.238117833
-50	5	1.98888490146956	-1.120163986	0.7329971154	1.275569040
-50	-2.84217e-14	2.03381191654091	-1.157990317	0.6000000000	1.307309100
-50	-5	2.07849257194196	-1.188653798	0.4610108024	1.333038816
-50	-10	2.12296068305773	-1.211646392	0.3158232578	1.352331893
-50	-15	2.16721684159072	-1.226278619	0.1642399574	1.364609789
-50	-20	2.21121384494170	-1.231653309	0.006126762848	1.369119690
-50	-25	2.25483617413452	-1.226639422	-0.1585144195	1.364912539
-50	-30	2.29787391305603	-1.209851252	-0.3294480539	1.350825592
-50	-35	2.33999212327479	-1.179641727	-0.5060770449	1.325476790
-50	-40	2.38069419279869	-1.134120475	-0.6872799246	1.287279925
-50	-45	2.41928525731633	-1.071216724	-0.8712167242	1.234497411

-45	45	1.61556257997503	-0.5327454904	1.532745490	0.9327454904
-45	40	1.66059510487649	-0.6098417634	1.447357851	1.009841763
-45	35	1.70490260710653	-0.6803750859	1.356486779	1.080375086
-45	30	1.74842636350260	-0.7446137368	1.260843049	1.144613737
-45	25	1.79118345606355	-0.8028565938	1.160901241	1.202856594
-45	20	1.83324597557952	-0.8553904893	1.056924770	1.255390489
-45	15	1.87472172057293	-0.9024565237	0.9489921737	1.302456524
-45	10	1.91574128674931	-0.9442255512	0.8370232328	1.344225551
-45	5	1.95644724021513	-0.9807774243	0.7208023715	1.380777424
-45	-2.84217e-14	1.99698721033367	-1.012083198	0.6000000000	1.412083198
-45	-5	2.03750333832529	-1.037983378	0.4741927561	1.437983378
-45	-10	2.07812774078528	-1.058167878	0.3428856606	1.458167878
-45	-15	2.11897070155700	-1.072147671	0.2055392205	1.472147671
-45	-20	2.16011007096079	-1.079224106	0.06160645569	1.479224106
-45	-25	2.20157239453946	-1.078450386	-0.08941273708	1.478450386
-45	-30	2.24330790315049	-1.068589753	-0.2478906894	1.468589753
-45	-35	2.28515909981467	-1.048076241	-0.4139538999	1.448076241
-45	-40	2.32681254266055	-1.014982180	-0.5873110252	1.414982180
-45	-45	2.36774015913823	-0.9670154182	-0.7670154182	1.367015418


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.59908754914798	-1.437832431	-1.237832431	2.250695604e-16
-40	-90	2.61235638195852	-1.279190314	-1.401181090	2.450740016e-16
-35	-90	2.61811966719981	-1.101691749	-1.544638078	2.626424157e-16
-30	-90	2.61630481017806	-0.9081524051	-1.665786430	2.774788099e-16
-25	-90	2.60693890287048	-0.7017399876	-1.762689028	2.893459556e-16
-20	-90	2.59014517314278	-0.4858818234	-1.833940306	2.980717205e-16
-15	-90	2.56615068552908	-0.2641686700	-1.878711221	3.035545763e-16
-10	-90	2.53527034796384	-0.04024507582	-1.896753895	3.057641665e-16
-5	-90	2.49790308151261	0.1822934016	-1.888397806	3.047408408e-16
-2.84217e-14	-90	2.45453230855291	0.4000000000	-1.854532309	3.005935135e-16
5	-90	2.40571684088214	0.6096720381	-1.796562362	2.934942426e-16
10	-90	2.35208173289189	0.8084347066	-1.716348326	2.836708563e-16
15	-90	2.29430285656461	0.9938092745	-1.616126382	2.713972081e-16
20	-90	2.23309585687801	1.163763765	-1.498423698	2.569827865e-16
25	-90	2.16920926154261	1.316747447	-1.365971245	2.407620393e-16
30	-90	2.10340885939387	1.451704430	-1.221605507	2.230823353e-16
35	-90	2.03645139600272	1.568060535	-1.068163324	2.042910875e-16
40	-90	1.96908400372913	1.665702800	-0.9084058591	1.847264407e-16
45	-90	1.90202645827228	1.744935807	-0.7449358066	1.647071331e-16

-45	-85	2.59648406805181	-1.432488252	-1.232488252	0.1603219481
-40	-85	2.60925872811510	-1.273445079	-1.394334184	0.1744816324
-35	-85	2.61455834802917	-1.095812666	-1.536241877	0.1868969468
-30	-85	2.61233586479361	-0.9024348387	-1.655883314	0.1973642162
-25	-85	2.60263903896480	-0.6964813069	-1.751411751	0.2057218715
-20	-85	2.58560789485550	-0.4813565041	-1.821507093	0.2118544193
-15	-85	2.56148250015613	-0.2606057840	-1.865414350	0.2156958065
-10	-85	2.53058524580311	-0.03780949003	-1.882941001	0.2172291898
-5	-85	2.49331628252405	0.1835138398	-1.874448134	0.2164861602
-2.84217e-14	-85	2.45015235935097	0.4000000000	-1.840828790	0.2135448487
5	-85	2.40163922200546	0.6085261533	-1.783464839	0.2085261533
10	-85	2.34838344585632	0.8062872652	-1.704169581	0.2015887171
15	-85	2.29103919560254	0.9908585141	-1.605113995	0.1929224763
20	-85	2.23029936608562	1.160242439	-1.488748935	0.1827418527
25	-85	2.16688919422385	1.312901659	-1.357723925	0.1712786497
30	-85	2.10155168424512	1.447772672	-1.214795503	0.1587740331
35	-85	2.03502389999079	1.564255725	-1.062729493	0.1454699811
40	-85	1.96803798169097	1.662198892	-0.9042300638	0.1316030779
45	-85	1.90130309782522	1.741859029	-0.7418590291	0.1173974531

-45	-80	2.58862982039425	-1.416373835	-1.216373835	0.3202757141
-40	-80	2.59993820166218	-1.256167906	-1.373744052	0.3480243295
-35	-80	2.60387044881259	-1.078179062	-1.511058481	0.3722365681
-30	-80	2.60045127611108	-0.8853261195	-1.626250143	0.3925479661
-25	-80	2.58978802420093	-0.6807781926	-1.717736314	0.4086794462
-20	-80	2.57207400411139	-0.4678684562	-1.784448987	0.4204426904
-15	-80	2.54758124909409	-0.2500021537	-1.825841063	0.4277412302
-10	-80	2.51665084186133	-0.03056843143	-1.841874917	0.4305684314
-5	-80	2.47968388637972	0.1871402584	-1.832997980	0.4290031879
-2.84217e-14	-80	2.43713717233869	0.4000000000	-1.800111582	0.4232044287
5	-80	2.38951833654036	0.6051197972	-1.744530010	0.4134038978
10	-80	2.33738148016234	0.7998976182	-1.667932092	0.3998976182
15	-80	2.28132020790015	0.9820670288	-1.572303725	0.3830357570
20	-80	2.22195915285194	1.149732806	-1.459873955	0.3632113550
25	-80	2.15995669062671	1.301399677	-1.333057845	0.3408502534
30	-80	2.09598991157481	1.435985794	-1.194380031	0.3163976131
35	-80	2.03073839699621	1.552820403	-1.046398160	0.2903044166
40	-80	1.96488951033590	1.651640114	-0.8916466023	0.2630175417
45	-80	1.89911953086113	1.732562500	-0.7325624998	0.2349667222

-45	-75	2.57539687639479	-1.389248199	-1.189248199	0.4794276101
-40	-75	2.58431635079971	-1.227240673	-1.339269918	0.5196258083
-35	-75	2.58604650106859	-1.048806720	-1.469110430	0.5544164688
-30	-75	2.58071919776278	-0.8569611539	-1.577120582	0.5833577017
-25	-75	2.56854010188529	-0.6548533340	-1.662140275	0.6061386598
-20	-75	2.54977747558261	-0.4456799149	-1.723486470	0.6225763234
-15	-75	2.52474925366457	-0.2326082602	-1.760926168	0.6326082602
-10	-75	2.49381701743597	-0.01871416640	-1.774646039	0.6362844886
-5	-75	2.45737566922726	0.1930707601	-1.765212035	0.6337566548
-2.84217e-14	-75	2.41584769571894	0.4000000000	-1.733529682	0.6252673937
5	-75	2.36968065792009	0.5995446702	-1.680806017	0.6111401303
10	-75	2.31935213703756	0.7894213528	-1.608518238	0.5917706785
15	-75	2.26535885967729	0.9676146749	-1.518366806	0.5676146749
20	-75	2.20822258291646	1.132397044	-1.412244341	0.5391792460
25	-75	2.14849750191599	1.282349375	-1.292204341	0.5070146250
30	-75	2.08675715712303	1.416372756	-1.160409253	0.4717002378
35	-75	2.02359127455619	1.533696798	-1.019086822	0.4338330066
40	-75	1.95961436183703	1.633890809	-0.8704938043	0.3940176273
45	-75	1.89544442958139	1.716853555	-0.7168535551	0.3528498466

-45	-70	2.55658021755717	-1.350723325	-1.150723325	0.6372111788
-40	-70	2.56227521196603	-1.186486740	-1.290701272	0.6881589848
-35	-70	2.56107998519262	-1.007738919	-1.410459532	0.7317474268
-30	-70	2.55326785668216	-0.8175793009	-1.508909211	0.7675801797
-25	-70	2.53916206585285	-0.6190826543	-1.585429805	0.7954313980
-20	-70	2.51910931105762	-0.4152230135	-1.639806821	0.8152230135
-15	-70	2.49347718825795	-0.2088295450	-1.672182795	0.8270069042
-10	-70	2.46264102667077	-0.002554287788	-1.682998814	0.8309436131
-5	-70	2.42697618971076	0.2011432312	-1.672943268	0.8272836938
-2.84217e-14	-70	2.38685578102358	0.4000000000	-1.642910764	0.8163527563
5	-70	2.34265198868834	0.5919475794	-1.593970872	0.7985400923
10	-70	2.29474002516416	0.7751084411	-1.527345682	0.7742905064
15	-70	2.24350089015969	0.9477931110	-1.444391722	0.7440977341
20	-70	2.18933362292744	1.108502464	-1.346594521	0.7085024639
25	-70	2.13265904348214	1.255934274	-1.235556974	0.6680881017
30	-70	2.07391823980986	1.388991388	-1.112983332	0.6234749445
35	-70	2.01358647807168	1.506800283	-0.9806746182	0.5753185111
40	-70	1.95217647656337	1.608731240	-0.8405097975	0.5243026884
45	-70	1.89022471824392	1.694409024	-0.6944090239	0.4711263557

-45	-65	2.53190447203237	-1.300282558	-1.100282558	0.7928547780
-40	-65	2.53366936077018	-1.133697711	-1.227789758	0.8523123615
-35	-65	2.52899077634289	-0.9550770421	-1.335250577	0.9024221643
-30	-65	2.51830266939897	-0.7675426111	-1.422243122	0.9429874547
-25	-65	2.50203616390657	-0.5739966928	-1.488742648	0.9739966928
-20	-65	2.48061426060647	-0.3770904015	-1.535038331	0.9955847242
-15	-65	2.45443727526498	-0.1792120277	-1.561648716	1.007993350
-10	-65	2.42387512897003	0.01750230667	-1.569252214	1.011538920
-5	-65	2.38926681780702	0.2111438298	-1.558635903	1.006588453
-2.84217e-14	-65	2.35092125492066	0.4000000000	-1.530658240	0.9935422542
5	-65	2.30912196461199	0.5825212352	-1.486227264	0.9728237499
10	-65	2.26413492597424	0.7572900172	-1.426292379	0.9448756540
15	-65	2.21621711605437	0.9229954836	-1.351845717	0.9101606053
20	-65	2.16563065705640	1.078416965	-1.263935291	0.8691673005
25	-65	2.11264933487297	1.222415557	-1.163675853	0.8224155569
30	-65	2.05757160219673	1.353937170	-1.052267645	0.7704650563
35	-65	2.00073696593579	1.472029505	-0.9310168005	0.7139248589
40	-65	1.94253222030368	1.575866617	-0.8013432656	0.6534570965
45	-65	1.88339100753084	1.664777924	-0.6647779235	0.5897756316

-45	-60	2.50103846676377	-1.237314013	-1.037314013	0.9453036861
-40	-60	2.49834822673420	-1.068676198	-1.150300136	1.010536254
-35	-60	2.48984918862904	-0.8910176603	-1.243764298	1.064497814
-30	-60	2.47611244253517	-0.7073511483	-1.317988451	1.107351148
-25	-60	2.45766728508142	-0.5202823178	-1.373551799	1.139430663
-20	-60	2.43497737851018	-0.3320189180	-1.411205448	1.161170007
-15	-60	2.40844627572680	-0.1444163337	-1.431789418	1.173054167
-10	-60	2.37841559318142	0.04096916096	-1.436165070	1.175580451
-5	-60	2.34516887476112	0.2228204791	-1.425171191	1.169233132
-2.84217e-14	-60	2.30893809820086	0.4000000000	-1.399599049	1.154469049
5	-60	2.26991228041749	0.5714938206	-1.360183339	1.131712378
10	-60	2.22824720382604	0.7363623521	-1.307605692	1.101356660
15	-60	2.18407875477613	0.8936992617	-1.242510728	1.063774065
20	-60	2.13753194544344	1.042598915	-1.165526009	1.019326917
25	-60	2.08873975033340	1.182136081	-1.077296238	0.9683874348
30	-60	2.03785587267786	1.311356852	-0.9785163714	0.9113568519
35	-60	1.98507590509979	1.429286457	-0.8699734023	0.8486895395
40	-60	1.93063933501966	1.534943483	-0.7525729736	0.7809083704
45	-60	1.87486026568826	1.627384155	-0.6273841550	0.7086305723

-45	-55	2.46361755496783	-1.161163093	-0.9611630931	1.093138166
-40	-55	2.45618677593799	-0.9912946682	-1.058080419	1.161000408
-35	-55	2.44378928649891	-0.8158897939	-1.136470586	1.215889794
-30	-55	2.42709601721300	-0.6376686332	-1.197294794	1.258479363
-25	-55	2.40667688926782	-0.4587767846	-1.241652758	1.289539144
-20	-55	2.38299940976746	-0.2808665470	-1.270665463	1.309854059
-15	-55	2.35643400736309	-0.1051903826	-1.285396175	1.320168614
-10	-55	2.32726482523600	0.06730561729	-1.286803604	1.321154107
-5	-55	2.29570167203806	0.2358959426	-1.275717959	1.313391854
-2.84217e-14	-55	2.26189149346296	0.4000000000	-1.252833041	1.297367662
5	-55	2.22592991429975	0.5591165502	-1.218710491	1.273474796
10	-55	2.18786895700632	0.7127670320	-1.173789982	1.242021117
15	-55	2.14773243407277	0.8604473398	-1.118412866	1.203245643
20	-55	2.10553083473648	1.001588697	-1.052851360	1.157338982
25	-55	2.06126793041436	1.135524180	-0.9773366942	1.104463044
30	-55	2.01496367734000	1.261467610	-0.8921056694	1.044783638
35	-55	1.96666539100490	1.378500229	-0.7974431520	0.9785002292
40	-55	1.91646936308806	1.485574449	-0.6937372499	0.9058845749
45	-55	1.86454829599532	1.581540527	-0.5815405273	0.8273235840

-45	-50	2.41928509768448	-1.071216627	-0.8712166272	1.234497329
-40	-50	2.40712561367276	-0.9015718221	-0.9511528950	1.301571822
-35	-50	2.39104909000053	-0.7302108607	-1.014108388	1.354397753
-30	-50	2.37175573025006	-0.5593319004	-1.061611593	1.394257675
-25	-50	2.34979421914429	-0.3904577807	-1.095142181	1.422393179
-20	-50	2.32557868198662	-0.2245885911	-1.116043051	1.439931091
-15	-50	2.29940823565819	-0.06233962912	-1.125474986	1.447845425
-10	-50	2.27148460972168	0.09594203906	-1.124398386	1.446942050
-5	-50	2.24192995408964	0.2500817133	-1.113573858	1.437859193
-2.84217e-14	-50	2.21080535889737	0.4000000000	-1.093575160	1.421078292
5	-50	2.17811826832016	0.5456511870	-1.064800686	1.396933642
10	-50	2.14383296919127	0.6869706792	-1.027491596	1.365627598
15	-50	2.10788331216883	0.8238299114	-0.9817547631	1.327249838
20	-50	2.07018301066534	0.9559961054	-0.9275867449	1.281797474
25	-50	2.03063445120287	1.083094200	-0.8649002387	1.229197250
30	-50	1.98913900381752	1.204570419	-0.7935568433	1.169333033
35	-50	1.94561499856351	1.319661253	-0.7134123854	1.102083848
40	-50	1.90002312692551	1.427373291	-0.6243758104	1.027373291
45	-50	1.85237833140592	1.526469056	-0.5264690563	0.9452197697

-45	-45	2.36774004690958	-0.9670153535	-0.7670153535	1.367015353
-40	-45	2.35122026049193	-0.7997656394	-0.8298250110	1.429825011
-35	-45	2.33200254931878	-0.6347389290	-0.8777603390	1.477760339
-30	-45	2.31072860826884	-0.4733733207	-0.9127269654	1.512726965
-25	-45	2.28785375325853	-0.3164313661	-0.9363920226	1.536392023
-20	-45	2.26368576742310	-0.1642091206	-0.9501518187	1.550151819
-15	-45	2.23841736507970	-0.01669658666	-0.9551328327	1.555132833
-10	-45	2.21215092712518	0.1263037719	-0.9522084427	1.552208443
-5	-45	2.18491793196188	0.2650905262	-0.9420223415	1.542022341
-2.84217e-14	-45	2.15669648256038	0.4000000000	-0.9250147078	1.525014708
5	-45	2.12742064107605	0.5313592584	-0.9014431939	1.501443194
10	-45	2.09698632251148	0.6594475991	-0.8714004520	1.471400452
15	-45	2.06526164945067	0.7844624748	-0.8348334897	1.434833490
20	-45	2.03208956376153	0.9064852561	-0.7915568045	1.391556805
25	-45	1.99729484851631	1.025444120	-0.7412692431	1.341269243
30	-45	1.96069218017212	1.141071987	-0.6835743329	1.283574333
35	-45	1.92209794529871	1.252859089	-0.6180090077	1.218009008
40	-45	1.88134365626419	1.360000010	-0.5440834613	1.144083461
45	-45	1.83830432295506	1.461345496	-0.4613454957	1.061345496